Consider a list of randomly generated 2-letter "words" printed on a paper. The letters cannot be repeated.(a) At least how many of these "words" should be printed to be sure of having at least 6 identical "words" on the list?Answer = (b) At least how many identical "words" are printed if there are 4551 "words" on the list?

Q: 3) Sarah writes down random positive integers when she gets bored. Prove that if Sarah writes 1001…

A: Given:  Sarah writes 1001 numbers.  Since there are 10 digits, i.e., there are only 103 = 1000…

Q: A camera shop stocks eight different types of batteries, one of which is type A76. And the camera…

A:

Q: A machine puts out 16 imperfect articles in a sample of 500. After the machine is over-hauled, it…

A:

Q: How many three-number combinations are possible on a combination lock having 40 numbers on its dial…

A: We have , total 40 number on dial and we have to find the combination lock of 3 digits. Since , the…

Q: From a group of 30 patients receiving a standard chemotherapy treatment for lymphoma, 5 can be…

A: Here it is asked to find how many different groups of 5 can be chosen from the initial group of 30.…

Q: If I have 5 bananas, 3 oranges, and 6 apples, how many ways can I distribute these to 14 friends, if…

A: Given:  Number of bananas (b)=5 Number of oranges (o)=3 Number of apples (a)=6 Number of friends…

Q: In your school, 40% of students watch TV at night. You randomly ask 5 students every day if they…

A:

Q: 3. A box contains 60 yellow marbles, 110 blue marbles and 90 green marbles. If you pick one marble…

A:

Q: A race has 10 runners. In how many ways can the first three places be decided?

A: Here use combination

Q: A group of boys shares some cards among themselves. If each of them tried to take 8 cards each, the…

A:

Q: A pass code for an account consists of 2 letters followed by 3 symbols. If letters may be chosen…

A:

Q: Three adults and five children are seated randomly in a row. In how many ways can this be done if…

A: Option(1) is correct

Q: In the laboratory analysis of samples from a chemical process, seven samples from the process are…

A: Answer:----.            Date:----8/10/2021 1)  Number of different sequences of process and control…

Q: In a survey of 84 baseball fans in. NYC, 46 were fans of the Mets, 56 were fans of the Yankees and…

A:

Q: A small combination lock on a suitcase has 4 wheels, each labeled with the 10 digits 0 to 9 How many…

A: It is given that, a small combination lock on a suitcase has 4 wheels, each labeled with the 10…

Q: If 4 marbles are picked randomly from a basket containing 5 blue marbles and 8 yellow marbles, in…

A: This is the problem of combinatorial.

Q: At a baby shower 17 guests are in attendance and 5 of them are randomly selected to receive a door…

A: Combination Rule: The arrangement of r objects from n different objects is given by: nCr=n!r!n-r!

Q: A survey revealed that of the 10,000 people surveyed, 3,200 drank coffee every morning, and 160 of…

A: No, They are not independent events They are Mutually dependent events

Q: Assume that there are 9 pairs of shoes in a closet. How many single shoes must you choose at random…

A: Suppose the first shoe is chosen at random and after that 8 different shoes are chosen. Then the…

Q: Suppose that you have a combination lock that uses letters instead of numbers for its combination,…

A: Solution: The total number of letters is 26 and the lock will be opened with four letters and…

Q: How many different integers must be selected to guarantee that at least 5 of them would have the…

A: Dividing any integer by 3, can have remainder 0, 1 or 2. Therefore, possibilities for remainder are…

Q: A small combination lock on a suitcase has 3​wheels, each labeled with the 10 digits 0 to 9. How…

A:

Q: A shipment of 40 computers are unloaded from the van and tested 6 of them are defective In how many…

A: We will find out the required number of ways.

Q: Suppose that the number of students in a class increase by 2, the number of ways they may be…

A:

Q: In the laboratory analysis of samples from a chemical process, seven samples from the process are…

A: Given : 7 samples are process 1 control sample analyzed twice Hence , total items  = 9   a) If we…

Q: How many different committees of four members are possible using this method?

A: Given: Kim wants to choose a committee of four of her sorority sisters to help her. 16 of her…

Q: Assume that there are 10 girls and 8 boys in the neighborhood club, and a team of 8 is to be…

A:

Q: In a large math conference with 2022 participants, each person shakes hands with some number of…

A: For 'n' number of participants the maximum number of handshakes is n(n-1)/2.

Q: A TV game show selects four contestants from an audience of 26 people. If the same 26 people showed…

A: Given: Total number of people=26Number of people selected=4 The permutation formula is applied when…

Q: A library has 5000 books, and the librarian wants to encode each using a code- word consisting of 3…

A: Given, A library has 5000 books and the librarian wants to encode each book using a code-word…

Q: | Suppose 10 ducks and 6 geese line up in a single row. In how many ways can they line up so that no…

A:

Q: A student taking an examination is required to answer exactly 10 out of 15 questions. in how many…

A:

Q: Find the number of ways of selecting exactly one of the two best applicants in a selection of two…

A: Given problem Given that

Q: Consider a lottery game that is played by drawing four white balls out of a drum of 69 white balls…

A:

Q: 4. In some states,license plates consist of 3 letters followed by 2 or 3 digits (for example, JWK-…

A: Given: 4) License plates consist of 3 letters followed by 2 or three digits. To find: How many such…

Q: Find the number of arrangements of the digits {0,1,2,3,4,5,6,7,8,9} such that the first digit is…

A: We need to find the total number of arrangements of digits 0,1,2,3,4,5,6,7,8,9 such that the first…

Q: Suppose person X was infected by a virus and it gets to infect three persons in a day. Each of these…

A: Suppose person X was infected by a virus and it gets to infect three persons in a day. Each of these…

Q: How many 6-permutations of [15] have their digits in increasing order?

A: Permutation is a technique to obtain the possible arrangements of listed items in a linear order.…

Q: A contractor builds homes of  11 different models and presently has 6 lots to build on. In how many…

A: We have to find the different ways can he arrange homes on these 6 lots...

Q: itially, 10 people have an infection. The next day, every infected people infects one more person.…

A: To find the number of days it will take for 1280 people to infect.

Q: 3) Among a group of seven (not necessarily consecutive) integers, how many must be divided by 5 to…

A: This is a problem related to divination rule of the mathematics. Based on the general concept we…

Q: Suppose that there are n = 2k teams in an eliminationtournament, where there are n∕2 games in the…

A:

Q: A bag contains pieces of 6 different types of candy. If the bag has 85 pieces in total, how many…

A: Explanation:Here givens the 85 prices 6 types of different candys and finally how much randomly…

Q: A pass code for an account consists of 2 letters followed by 3 symbols. If letters may be chosen…

A: Total number of letters available for password, m = 12 Total number of symbols available for…

Q: If you have 12 boxes then how many balls do you have to put randomly into the boxes in order to…

A: Given that, We are having 12 boxes. In order to have atleast 4 balls in each box when a random box…

Q: If a bank sends a random 5-digit number to customers for security, how many potential numbers are…

A:

Q: If they decide to purposely choose 2 of the 22 available dogs rather than randomly choosing any 2,…

A: Formula used: Crn=n!r!n-r!n!=n×n-1×n-2×.…2×1 Here given n=22 and r=2.

Q: A shipment of 40 computers are unloaded from the van and tested. 6 of them are defective. In how…

A:

Q: Suppose that nine children are sitting in a row. When the music starts, they get up and run around…

A: Now suppose that nine children are sitting in a row. When the music starts, they get up and run…

Types of Bias

Statistics is the study of data collection, organization, analysis, interpretation, and presentation. Statistical bias is a characteristic of a statistical technique or its findings in which the expected value deviates from the actual root quantitative parameter being estimated. According to the actual definition of bias, it refers to the tendency of a statistic to overestimate or underestimate a parameter.